13505345340 has 96 divisors (see below), whose sum is σ = 38117592576. Its totient is φ = 3572701440.

The previous prime is 13505345297. The next prime is 13505345341. The reversal of 13505345340 is 4354350531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505345341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5842785 + ... + 5845095.

It is an arithmetic number, because the mean of its divisors is an integer number (397058256).

Almost surely, 2^13505345340 is an apocalyptic number.

13505345340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13505345340 is an abundant number, since it is smaller than the sum of its proper divisors (24612247236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505345340 is a wasteful number, since it uses less digits than its factorization.

13505345340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 13505345340 its reverse (4354350531), we get a palindrome (17859695871).

The spelling of 13505345340 in words is "thirteen billion, five hundred five million, three hundred forty-five thousand, three hundred forty".